Authors: | Abraham, Uri Todorčević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Partition properties of ω1 compatible with CH | Journal: | Fundamenta Mathematicae | Volume: | 152 | Issue: | 2 | First page: | 165 | Last page: | 181 | Issue Date: | 1-Jan-1997 | Rank: | M22 | ISSN: | 0016-2736 | DOI: | 10.4064/fm-152-2-165-181 | Abstract: | A combinatorial statement concerning ideals of countable subsets of ω1 is introduced and proved to be consistent with the Continuum Hypothesis. This statement implies the Suslin Hypothesis, that all (ω1,ω*1)-gaps are Hausdorff, and that every coherent sequence on ω1 either almost includes or is orthogonal to some uncountable subset of ω1. |
Publisher: | Instytut Matematyczny Polskiej Akademii Nauk |
Show full item record
SCOPUSTM
Citations
53
checked on Nov 19, 2024
Page view(s)
14
checked on Nov 19, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.